Calculos en Por Unidad - Complejos Con Excel

8/21/2019 Calculos en Por Unidad - Complejos Con Excel

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^ Sistema en por unidad

Formulacin

Valores Base Cambio de Ba

IB = SB/(3*UB)

ZB = UB/(3*IB) = (UB)^2/(SB) z' = z*(S'/S)*(

SB 100 MVA 100 MVA

VB 13.2 kV 110 kV

IB 4373.87 A 524.86 A

ZB 1.7424 ohm 121 ohm

a) Impedancias:

ZONA I

Xg(pu) = 0.1 Xg' = 0.166666667 j

SB = 60

VB = 13.2

ZONA II

ZT1 (pu)= 0.1 ZT1' = 0.166666667 jSB = 60

VB = 110

ZL 20 + j 50 ZL (pu) = 0.165289256 + j 0.413223

ZONA III

XT2 (pu) = 0.11 XT2' = 0.183333333 j

SB = 60

VB = 6

b) u1 = 1.05 0

S1 = 50 + j 10 MVA

S1 = 50.990195111.309932

S1(pu) = 0.5099019511.309932

I*(pu) = 0.48562091 11.309932

I(pu) = 0.48562091 -11.309932

ZONA I

(Generacin)

ZONA II

(Transmisin)

MOTOR

T1

T2


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IL = 254.884873 -11.309932 A

c) Eg (pu) = u1 + I1*Xg (pu)

Eg = +

Eg = 1.05 0 + 0.485620906 -11.30993

Eg = 1.05 0 + 0.080936818 78.690068

Eg = 1.05 + j 0 + 0.015873016 + j 0.079365

Eg = 1.06587302 + j 0.079365Eg = 1.0688237 4.2583948

d) u4 ?

u4 = u1 - i1*Z(1-4)

Z(1-4) = ZT1 + ZL + ZT2

Z(1-4) = +

Z(1-4) = 0 + j 0.166667 + 0.165289256 + j 0.413223

Z(1-4) = 0.16528926 + j 0.763223

Z(1-4) = 0.7809161977.78031

ZT1 ZL

u1 I1


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se

/V')^2

100 MVA

6 kV

9622.50 A

0.36 ohm

ZONA III

(Carga)


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*

* 0.16666667 90

+

+ 0 + j 0.183333

ZT2

Xg


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^ Sistema en por unidad

Formulacin

Valores Base Cambio de Ba

IB = SB/(3*UB)

ZB = UB/(3*IB) = (UB)^2/(SB) z' = z*(S'/S)*(

SB 100 MVA 100 MVA

VB 33 kV 330 kV

IB 1749.55 A 174.95 A

ZB 10.89 ohm 1089 ohm

a) Impedancias:

ZONA I

Xg(pu) = 18% Xg' = 0.088888889

SB = 90

VB = 22

Xg(pu) = 10% Xg' = 0.088888889

SB = 50

VB = 22

Xg(pu) = 6% Xg' = 0.066666667

SB = 40

VB = 220

Xg(pu) = 6.4% Xg' = 0.071111111

SB = 40

VB = 22

Xg(pu) = 8% Xg' = 0.088888889 j

SB = 40

VB = 110

Xg(pu) = 18.5% Xg' = 0.111587302 j

SB = 66.5

VB = 10.45

M

G

T1

T2

T3

ZONA I

(Generacin)

ZONA II

(Transmisin)

T4


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ZL1 0 + j 48.4 ZL1 (pu) = 0 + j 0.044444

ZL2 0 + j 65.43 ZL2 (pu) = 0 + j 0.240331

V4 10.45 kV u4 (p.u) = 0.633333333

i'(motor) = 1.05 36.869 i'(motor) = 0.84000987

I (motor) = 3674.04717 A

i' ( carga) = 0.9-53.13 i' ( carga) = 0.54000129

3149.18329

i2 + i3 = 1.38001116

i2 + i3 = 1.38294359

ZII + j 0.2

ZIII + j 0.400331

u1 = 0.184443248 86.268129 + 0.63333333

u1 = 0.01200493 + j 0.184052 + 0.63333333

u1 = 0.645338264 + j 0.184052

u1 = 0.671071284 15.918287

V1 = 22.14535237 15.918287

Eg (pu) = 0.633333333 0 + -0.11716667

Eg (pu) = 0.633333333 + j 0 + 0.0703

Eg (pu) = 0.703633333 -+ j 0.09373

Eg (pu) = 0.709849143 -7.587887

23.42502171

ZONA II

ZT1 (pu)= 0.1 ZT1' = 0.018518519 j

SB = 60

VB = 110

ZL 20 + j 50 ZL (pu) = 0.018365473 + j 0.045914

ZONA III

XT2 (pu) = 0.11 XT2' = 0.000242424 j

SB = 60

VB = 6

T1

T2


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b) u1 = 1.05 0

S1 = 50 + j 10 MVA

S1 = 50.990195111.309932

S1(pu) = 0.5099019511.309932

I*(pu) = 0.48562091 11.309932

I(pu) = 0.48562091 -11.309932

IL = 84.9616245 -11.309932 A

c) Eg (pu) = u1 + I1*Xg (pu)

Eg = +

Eg = 1.05 0 + 0.485620906 -11.30993

Eg = 1.05 0 + 0.043166303 78.690068

Eg = 1.05 + j 0 + 0.008465608 + j 0.042328

Eg = 1.05846561 + j 0.042328

Eg = 1.05931162 2.2900381

d) u4 ?u4 = u1 - i1*Z(1-4)

Z(1-4) = ZT1 + ZL + ZT2

Z(1-4) = +

Z(1-4) = 0 + j 0.018519 + 0.018365473 + j 0.045914

Z(1-4) = 0.01836547 + j 0.064675

Z(1-4) = 0.0672316774.147192

u1 I1

ZT1 ZL


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se

/V')^2

100 MVA 100 MVA

165 kV 16.5 kV

349.91 A 3499.09 A

272.25 ohm 2.7225 ohm

FP 0.8 0.6

36.8698976 53.1301024

ZONA IV

(Carga)

ZONA III

(Carga)


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+ j 0.629987

-+ j 0.72

-+ j 0.09001

-3.731871

i3 = 0.49958712 i2

i2 + i3 = 1.49958712 * i2

i2 = 0.92221624-3.731871I2 = 161.345998-3.731871

0

+ j 0

126.8699

-+ j 0.09373


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*

* 0.08888889 90

+

+ 0 + j 0.000242

Xg

ZT2

Calculos en Por Unidad - Complejos Con Excel

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